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- W2273918977 abstract "The Fredholm reduction of the singular integral equation satisfied by the reactance matrix which was developed in a previous paper is extended so as to constitute a complete and unified Fredholm formalism for the various integral equations which occur in the momentum-space formulation of two-body (potential) scattering problems. The essential simplification which permits this unified treatment is the demonstration of the formal similarity of the scattering integral equations, whether part of the interaction includes a hard core or not. The principal result consists in an apparatus which is useful in performing those two-body calculations which occur in investigations of high-energy nucleonnucleus scattering; in particular, the technique is used to obtain the solutions of integral equations satisfied by transition matrices which appear typically in multiple-scattering theories. The relation between the uniqueness of solutions of the scattering integral equations and the validity of the Fredholm formalism is also discussed. Methods which were previously considered for obtaining approximate solutions of the Fredholm equations are generalized. (auth)" @default.
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- W2273918977 date "1962-08-15" @default.
- W2273918977 modified "2023-10-18" @default.
- W2273918977 title "TRANSITION MATRIX FOR NUCLEON-NUCLEON SCATTERING. PART II" @default.
- W2273918977 hasPublicationYear "1962" @default.
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